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From the Rolls-Royce experimental archive: a quarter of a million communications from Rolls-Royce, 1906 to 1960's. Documents from the Sir Henry Royce Memorial Foundation (SHRMF).
Graph comparing the increase in effective radius with speed for two different tyre types, alongside a discussion on tyre noise.

Identifier  ExFiles\Box 45\2\  Scan013
Date  1st January 1927 guessed
  
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INCREASE IN RADIUS - INCHES

Graph text:
INCREASE IN EFFECTIVE RADIUS
OF 33 X 6.75 DUNLOP CORD BALLOON TYRE
LOAD ON TYRE - 1120 LBS.
INFLATION PRESSURE 30 LBS/SQ.IN.

33 X 5 TYRE INFLATED TO 70 LBS SQ.IN. CARRYING 1320 LBS LOAD

SPEED - M.P.H.

(b) The question of noise:
On a large car, tyre noise is a serious proposition.
It is an unfortunate fact that if a tyre tread has good non-skid properties it will almost inevitably be noisy. Thus plain ribbed tyres are almost silent, traction tread inter-mediate, and triple stud produce quite an objectionable volume of sound. The main drawback to the triple stud is that the note it produces is singularly like that of a noisy rear axle. Balloon tyres usually have a lower note than the corresponding high pressure tyres but are very much more audible; it is advisable that

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